If A is an n times n matrix and b 0 in Rn then consider the

If A is an n times n matrix and b 0 in R^n, then consider the set of solutions to Ax = b Select true or false for each statement. This set is closed under vector addition This set is closed under scalar multiplications The set contains the zero vector This set is a subspace

Solution

First and second are true , however third and fourth are false